Bahri, Anthony and Franz, Matthias and Notbohm, Dietrich and Ray, Nigel (2011) Classifying weighted projective spaces. [MIMS Preprint]
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Abstract
We obtain two classifications of complex weighted projective spaces, up to homeomorphism and up to homotopy equivalence. The first turns out to coincide with Al Amrani's classification up to isomorphism of algebraic varieties, and the second follows from our proof that the Mislin genus of any weighted projective space is rigid.
| Item Type: | MIMS Preprint |
|---|---|
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 51 Geometry (See also algebraic geometry) MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology |
| Depositing User: | Nigel Ray |
| Date Deposited: | 14 Sep 2011 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1671 |
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